## If x+y+z=π, then prove tanx + tany + tanz = tanx tany tanz

In this post, we will prove tanx + tany + tanz = tanx tany tanz when x+y+z is equal to π. Here we will use the following formula: tan(x+y) = $\dfrac{\tan x+\tan y}{1-\tan x \tan y}$. Question: If x+y+z=π, then prove that tanx + tany + tanz = tanx tany tanz. Solution: Given that x+y+z=π. … Read more

## Formula of Tan(x+y+z) with Proof

The formula of tan(x+y+z) is given as follows: tan(x+y+z) = $\dfrac{\tan x +\tan y+\tan z – \tan x \tan y \tan z}{1-\tan x \tan y-\tan y \tan z-\tan z \tan x}$. In this post, let us learn how to prove the formula of tan(x+y+z). Proof of tan(x+y+z) Formula We will use the formula tan(a+b) = … Read more

## Simplify cos^3x-sin^3x | Formula of cos^3x+sin^3x

The simplification of cos3x -sin3x is equal to cos3x -sin3x = (cosx -sinx)(2+sin2x)/2. The formula of cos^3x +sin^3x is given as follows: cos3x +sin3x = $\dfrac{(\cos x +\sin x)(2-\sin 2x)}{2}$. Formula of cos3x -sin3x Prove that cos3x -sin3x = (cosx -sinx)(2+sin2x)/2. Solution: Applying the formula a3 -b3 = (a -b)(a2+ab+b2), we get that cos3x -sin3x … Read more

## Cot2x Identity, Formula, Proof

The cot2x identity is given by cot2x = (cot2x-1)/2cotx. Note that cot2x is the cotangent of the angle 2x. The cot2x formula is as follows: cot2x = $\dfrac{\cot^2 x -1}{2 \cot x}$. Let us now learn how to prove the cot2x identity. Cot2x Formula in Terms of cotx The cot2x formula in terms of cotx … Read more

## Cosec2x Identity | Cosec2x Formula, Proof

The cosec2x identity is given by cosec2x = (tanx + cotx)/2. That is, the formula of cosec 2x is equal to cosec 2x = $\dfrac{\tan x + \cot x}{2}$. Now, let us learn how to prove the cosec2x formula. Proof of cosec2x = (tanx+cotx)/2 Note that cosecx is the reciprocal of sinx. So we have … Read more

## Find the Value of sin(5pi/2) | Sin 5π/2 Value

The value of sin(5pi/2) is equal to 1. The angle 5π/2 is equivalent to 450° and the value of sin 450° is equal to 1. The sin 5π/2 formula is given by $\sin \dfrac{5\pi}{2}=1.$ Let us learn how to find the value of sin(5pi/2). Value of Sin(5π/2) Answer: The value of sin 5π/2 is 1. … Read more

## Find the Value of cos(7pi/2) | Cos 7π/2 Value

The value of cos(7pi/2) is equal to 0. Cos(7pi/2) is the value of cosine trigonometric function for 7π/2 radians. The formula of cos 7π/2 is given by $\boxed{\cos \dfrac{7\pi}{2} = 0}.$ Note that What is the Value of Cos 7pi/2? Answer: cos(7π/2) is equal to 0. Explanation: Note that 7π/2 can be written as follows. … Read more

## Find the Value of cos(5pi/2) | Cos 5π/2 Value

The value of cos(5pi/2) is equal to 0. The formula of cos(5π/2) is given by $\boxed{\cos \dfrac{5\pi}{2} = 0}.$ Cos(5pi/2) is the value of cosine trigonometric function for 5π/2 radians. Note that What is the Value of Cos 5pi/2? Answer: cos(5π/2) is equal to 0. Explanation: Note that 5π/2 can be written as follows. \$\dfrac{5\pi}{2}=2\pi … Read more